Campostrini, M and Cucchieri, A and Mendes, T and Pelissetto, A and Rossi, P and Sokal, AD and Vicari, E (1996) Application of the O(N)-hyperspherical harmonics to the study of the continuum limits of one-dimensional sigma-models and to the generation of high-temperature expansions in higher dimensions. In: NUCLEAR PHYSICS B. (pp. 759 - 762). ELSEVIER SCIENCE BV
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Abstract
In this talk we present the exact solution of the most general one-dimensional O(N)-invariant spin model taking values in the sphere S-N-1, with nearest-neighbour interactions, and we discuss the possible continuum limits. All these results are obtained using a high-temperature expansion in terms of hyperspherical harmonics. Applications in higher dimensions of the same technique are then discussed.
| Type: | Proceedings paper |
|---|---|
| Title: | Application of the O(N)-hyperspherical harmonics to the study of the continuum limits of one-dimensional sigma-models and to the generation of high-temperature expansions in higher dimensions |
| Event: | Annual International Symposium on Lattice Field Theory |
| Location: | MELBOURNE, AUSTRALIA |
| Dates: | 1995-07-11 - 1995-07-15 |
| UCL classification: | UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics |
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